刁懷安，男，畢業於香港城市大學，博士，吉林大學教授，博士生導師。
基本介紹
- 中文名：刁懷安
- 學位/學歷：博士
- 職業：教師
- 專業方向：數值代數、隨機化算法、微分運算元譜理論、散射問題
- 任職院校：吉林大學
個人經歷,主講課程,研究方向,學術成果,
個人經歷
刁懷安，教授，博士生導師，2007年博士畢業於香港城市大學，研究興趣為數值代數、隨機化算法、微分運算元譜理論、散射問題，在Journal de Mathématiques Pures et Appliquées、Calculus of Variations and Partial Differential Equations、Communications in Partial Differential Equations、Mathematics of Computation，以及機器學習領域頂級會議NeurIPS 2019，等國際主流期刊發表科研論文40餘篇。出版學術專著一本。據Mathscinet顯示，所發表論文累計被引用210次；據Web of Science顯示，所發表論文中單篇最高被引用65次。曾主持多項國家自然科學基金與教育部博士點基金項目。曾多次受邀訪問國內外高校進行合作研究與學術交流。已經培養碩士學歷研究生16人，目前在讀碩士研究生8人。
主講課程
主講《矩陣計算》、《最最佳化計算》、《數值分析》、《凸分析》、《微分方程數值解》等多門研究生與本科生課程。
研究方向
數值代數、反問題
學術成果
代表性論文
1. H. Diao, X.Cao and H.Liu,On the geometric structures of conductive transmission eigenfunctions and their application, Communications in Partial Differential Equations, to appear, 2020.
2.X. Cao, H. Diao∗, H. Liu and J. Zou, On nodal and generalized singular structures of Laplacian eigenfunctions and applications, Journal de Mathématiques Pures et Appliquées, 143(2020), 116-161. (Corresponding author)
3.H. Diao, H. Liu and L. Wang, On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems, Calculus of Variations and Partial Differential Equations, 59(2020), 179.
4.Q. Meng, H. Diao∗ and Q. Yu, Structured condition number for multi-right hands linear systems with parameterized quasiseparable coefficient matrix, Journal of Computational and Applied Mathematics, 368(2020), 112527. (Corresponding author)
5.H. Diao, Z. Song, David P. Woodruff, and X. Yang, Total Least Squares Regression in Input Sparsity Time, In H. Wallach, H. Laro chelle, A. Beygelzimer, F. d Alche-Buc, E. Fox, and R. Garnett, editors, Advances in Neural Information Processing Systems 32 (NeurIPS 2019), pages 2478-2489. Curran Associates, Inc., 2019. 《中國計算機學會推薦國際學術會議和期刊錄 (2019 年)》人工智慧領域的 A 類國際學術會議.
6.H. Diao, R. Jayaram, Z. Song, W. Sun, and David P. Woodruff, Optimal Sketching for Kronecker Product Regression and Low Rank Approximation, In H. Wallach, H. Laro chelle, A. Beygelzimer, F. dAlche-Buc, E. Fox, and R. Garnett, editors, Advances in Neural Information Processing Sys- tems 32 (NeurIPS 2019), pages 4739-4750. Curran Associates, Inc., 2019. 《中國計算機學會推 薦國際學術會議和期刊錄 (2019 年)》人工智慧領域的 A 類國際學術會議.
7.H. Diao and Q. Meng, Structured generalized eigenvalue condition numbers for parameterized quasiseparable matrices, BIT, 59(2019), 695-720.
8.H. Diao, P. Li and X. Yuan, Inverse elastic surface scattering with far-field data, Inverse Problems and Imaging, 13(2019), 721–744.
9.H. Diao and Y. Sun. Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem, Linear Algebra and its Applications, 544(2018), 1-29
10. H. Diao, Condition numbers for a linear function of the solution of the linear least squares problem with equality constraints, Journal of Computational and Applied Mathematics, 344 (2018), 640- 656.
11. H. Diao and J. Zhao,On structured componentwise condition numbers for Hamiltonian eigenvalue problems, Journal of Computational and Applied Mathematics, 335(2018), 74-85.
12. H. Diao, Y. Wei, and P. Xie. Small sample statistical condition estimation for the total least squares problem, Numer. Algor., 75(2017), no. 2, 435-455.
13. H. Diao, L. Liang and S. Qiao, A condition analysis of the weighted linear least squares problem using dual norms, Linear and Multilinear Algebra., 66(2018), no. 6, 1085-1103.
14. H. Diao, X. Shi and Y. Wei, Effective condition numbers and small sample statistical condition estimation for the generalized Sylvester equation, Sci. China Math., 56 (2013), no. 5, 967-982.
15. H. Diao, W. Wang, Y. Wei and S. Qiao, On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products, Numer. Linear Algebra Appl., 20 (2013), no. 1, 44-59.
16. H. Diao, H. Xiang and Y. Wei, Mixed, componentwise condition numbers and small sample statistical condition estimation of Sylvester equations, Numer. Linear Algebra Appl., 19 (2012), no. 4, 639-654.
17. H. Diao,On componentwise condition numbers for eigenvalue eproblems with structured matrices, Numer. Linear Algebra Appl.,16 (2009), 87-107.
18. H. Diao and Y. Wei, On Frobenius normwise condition numbers for Moore-Penrose inverse and linear least squares problems, Numer. Linear Algebra Appl., 14(2007),603-610.
19. F. Cucker and H. Diao, Mixed and componentwise condition numbers for rectangular structured matrices, Calcolo, 44(2007), 89-115.
20. F. Cucker, H. Diao and Y. Wei, On mixed and componentwise condition numbers for Moore-Penrose inverse and linear least squares problems, Math. Comp., 76 (2007), 947-963.
21. F. Cucker, H.Diao and Y. Wei, Smoothed analysis of some condition numbers, Numerical Linear Algebra with Applications, 13 (2006), 71-84.
學術兼職
吉林省工業與套用數學學會第四屆理事會理事
美國數學會評論員
國際線性代數協會會員
中國數學會會員
中國工業與套用數學協會會員
